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Finding the Fourth Proportional to 14,243.40, 21,373.14 and 7,669.44

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Solution

The fourth proportional to 14,243.40, 21,373.14 and 7,669.44 is: 11,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.40 : 21,373.14 = 7,669.44 : x
  2. Step 2: Convert to fraction form
    14,243.40/21,373.14 = 7,669.44/x
  3. Step 3: Cross multiply
    14,243.40x = 21,373.14 × 7,669.44
  4. Step 4: Simplify right side
    14,243.40x = 163,920,014.84
  5. Step 5: Solve for x
    x = 163,920,014.84/14,243.40
  6. Step 6: Final answer
    x = 11,508.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.